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Finding the Fourth Proportional to 24,819.48, 34,251.20 and 13,489.20

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Solution

The fourth proportional to 24,819.48, 34,251.20 and 13,489.20 is: 18,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,819.48 : 34,251.20 = 13,489.20 : x
  2. Step 2: Convert to fraction form
    24,819.48/34,251.20 = 13,489.20/x
  3. Step 3: Cross multiply
    24,819.48x = 34,251.20 × 13,489.20
  4. Step 4: Simplify right side
    24,819.48x = 462,021,287.04
  5. Step 5: Solve for x
    x = 462,021,287.04/24,819.48
  6. Step 6: Final answer
    x = 18,615.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.